Anupam K. Singh

activity

20192021

most citedCommuting probability and simultaneous conjugacy classes of commuting tuples in a group

3 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2021★ 1 cited

Nilpotent Lie Algebras of breadth type $(0, 3)$

Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh

For a natural number $m$ , a Lie algebra $L$ over a field $k$ is said to be of breadth type $(0, m)$ if the co-dimension of the centralizer of every non-central element is of dimens…

math.GR2021

Asymptotics of commuting probabilities in reductive algebraic groups

Shripad M. Garge, Uday Bhaskar Sharma, Anupam Singh

Let $G$ be an algebraic group. For $d \geq 1$ , we define the commuting probabilities $c p_{d} (G) = \frac{d im ( C _{d} ( G ))}{d im ( G ^{d} )}$ , where $C_{d} (G)$ is the variety of c…

math.GR2020★ 3 cited

Commuting probability and simultaneous conjugacy classes of commuting tuples in a group

Uday Bhaskar Sharma, Anupam Singh

Let $G$ be a finite group. This expository article explores the subject of commuting probability in the group $G$ and its relation with simultaneous conjugacy classes of commuting…

math.GR2019

Two Generation of Finite Simple Groups

Yash Arora, Anupam Singh

This expository article revolves around the question to find short presentations of finite simple groups. This subject is one of the most active research areas of group theory in r…

Nilpotent Lie Algebras of breadth type (0,3)

Asymptotics of commuting probabilities in reductive algebraic groups

Commuting probability and simultaneous conjugacy classes of commuting tuples in a group

Two Generation of Finite Simple Groups

Nilpotent Lie Algebras of breadth type $(0, 3)$